Sort of a minor one, but he saves Daphne from drowning. Not awesome until you remember that he was considering drowning himself at the time.
While saving a guy who hates him, there is a shark coming for them. He shouts it down, scares the shit out of it, and it runs away.
He outruns the God of Death.
He beats First Mate Cox using a shark and his own blood.
He gets milk for a starving child by personally milking a large, drunk pig. Most important here is the fact that pigs can't be milked by hand: he had to put his mouth to the pig's muddy, stinking belly and suck out a mouthful of milk, spit it into the container he'd brought, then repeat....
Probably the premise of the story counts as a Moment of Awesome for him, too; he single-handedly recreates a Nation from people who have been washed up after a tidal wave, at the same time hating the gods, refusing to believe in the gods, talking to the gods, and having no soul.
And let's not forget Ermin - I mean, Daphne.
She poisons a man because she knows he won't take the time to make it safe
She saves Mau from the land of the dead
Her medical aid to various prisoners and captives near the end. She is a well-brought-up lady who hates blood, and has incidentally just sawn someone's leg off.